• Journal Publications:

A Domain Decomposition Algorithm for Optimal Control Problems Governed by Elliptic PDEs with Random Inputs, Applied Mathematics and Computation, Vol. 364, Article 124674, 2020 (with Jeehyun Lee, Yoongu Hwang, and Myoungho Yoon)

The $latex h\times p$ Finite Element Method for Optimal Control Problems Constrained by Stochastic Elliptic PDEs, J. KSIAM, Vol. 19, No. 4, pp. 387–407, 2015 (with Hyung-Chun Lee)

An Optimization Based Domain Decomposition Method for PDEs with Random Inputs, Computers & Mathematics with Applications, Vol. 68, Issue 12, Part B, pp. 2262-2276, 2014 (with Jeehyun Lee and Yoongu Hwang)

A Stochastic Galerkin Method for Stochastic Control Problems, Commun. Comput. Phys. Vol. 14, No. 1, pp. 77-106, 2013 (with Hyung-Chun Lee)

Error Estimates of Stochastic Optimal Neumann Boundary Control Problems, SIAM J. Numer. Anal. Vol. 49, No. 4, pp. 1532-1552, 2011 (with Max D. Gunzburger and Hyung-Chun Lee)

Finite Element Approximations of Stochastic Optimal Control Problems Constrained by Stochastic Elliptic PDEs, J. Math. Anal. Appl. Vol. 384, No. 1, pp 87-103, 2011 (with L. Steven Hou and H. Manouzi)

A Robin-Robin Non-Overlapping Domain Decomposition Method for an Elliptic Boundary Control Problem, Int. J. Numer. Anal. Model. Vol. 8, No. 3, pp 443-465, 2011 (with L. Steven Hou)

• Conference Proceedings (or Abstracts):

Exploring Dynamics of HIV Infections: An Analysis of the Susceptible-Infected-Virus Model in Deterministic and Stochastic Forms, Proceedings for the 2023 US-Korea Conference on Science, Technology and Entrepreneurship “Discovery, Innovation, and Dissemination for Transformative Impact”, 2023

Computational and Mathematical Approaches to a Modified SEIR Model for COVID-19, Proceedings for the 2022 US-Korea Conference on Science, Technology and Entrepreneurship “Science and Technology in the Wake of the Pandemic”, 2022

Solutions of the Model of HIV-1 Dynamics, Proceedings for the 2020 US-Korea Conference on Science, Technology and Entrepreneurship “Applied Science and Engineering with Social and Cultural Disciplines for a Sustainable Future”, 2020

Solutions of the HIV Model, Proceedings for the 2019 US-Korea Conference on Science, Technology and Entrepreneurship “Smart Science, Engineering and Health for Livable Communities”, 2019

A Domain Decomposition Algorithm for Random PDE Optimization Problems, Proceedings for the 2018 US-Korea Conference on Science, Technology and Entrepreneurship “Leading Discoveries in the Era of the 4^th Industrial Revolution”, 2018

Error Estimates for DDM Solutions to Stochastic Optimal Control Problems, Proceedings for the 2017 US-Korea Conference on Science, Technology and Entrepreneurship “Engagement Opportunities for Global Challenge”, 2017

An Optimization Based Domain Decomposition Method for Stochastic Optimal
Control Problems, Abstracts of Papers Presented to the American Mathematical Society, Vol. 38, No. 1, Issue 187, 2017.

Exponential convergence for stochastic optimal control problems, Abstracts of Papers Presented to the American Mathematical Society, Vol. 37, No. 1, Issue 183, 2016.

Optimal Control Problems for SPDEs with Neumann Conditions, Proceedings for the 2015 US-Korea Conference on Science, Technology and Entrepreneurship “Pursuing Excellence with a Servant’s Heart”, 2015

An optimization based domain decomposition method for PDEs with random inputs, Abstracts of Papers Presented to the American mathematical Society, Vol. 35, No. 1, Issue 175, p 255, 2014 (with Jeehyun Lee and Yoongu Hwang)

Domain decomposition methods for solving stochastic PDEs, Proceedings for the 2013 US-Korea Conference on Science, Technology and Entrepreneurship “Toward Harmonious World with Science, Technology, and Entrepreneurship”, 2013 (with Hyung-Chun Lee)

The h-p version of stochastic Galerkin FEM for stochastic optimal control problems, Proceedings for the 2012 US-Korea Conference on Science, Technology and Entrepreneurship “Creativity, Innovation, and Integration”, 2012 (with Hyung-Chun Lee)

Galerkin finite element approximations of an optimal control problem for elliptic PDEs with random input data, Abstracts of Papers Presented to the American mathematical Society, Vol. 33, No. 1, Issue 167, p 286, 2012 (with Hyung-Chun Lee)

Stochastic Galerkin methods for stochastic problems, Proceedings for the 2011 US-Korea Conference on Science, Technology and Entrepreneurship “US-Korea Summit on Science and Engineering of 40 Years”, 2011 (with Hyung-Chun Lee)

Finite element approximations of stochastic optimal control problems constrained by stochastic elliptic PDEs, Abstracts of Papers Presented to the American mathematical Society, Vol. 32, No. 1, Issue 163, p 252, 2011 (with L. Steven Hou and H. Manouzi)

On solving a boundary control problem using the domain decomposition method, Proceedings for the 2010 US-Korea Conference on Science, Technology and Entrepreneurship “Green Technology for a New World”, 2010 (with L. Steven Hou)

Solving stochastic control problems by the finite element method, Proceedings for the 2009 US-Korea Conference on Science, Technology and Entrepreneurship “Creative Minds for Global Sustainability”, 2009

• In Preparation:

Performance Analysis of Numerical Software for Shift Ordinary Differential Equations, 22 pp. in preparation (with O. L. Chilous, S. Fanous, and N. Ray)